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Finding the Fourth Proportional to 30,986.76, 42,761.64 and 16,839.48

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Solution

The fourth proportional to 30,986.76, 42,761.64 and 16,839.48 is: 23,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.76 : 42,761.64 = 16,839.48 : x
  2. Step 2: Convert to fraction form
    30,986.76/42,761.64 = 16,839.48/x
  3. Step 3: Cross multiply
    30,986.76x = 42,761.64 × 16,839.48
  4. Step 4: Simplify right side
    30,986.76x = 720,083,781.55
  5. Step 5: Solve for x
    x = 720,083,781.55/30,986.76
  6. Step 6: Final answer
    x = 23,238.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.